Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion
Abstract
We discuss the calculation of two-point three-loop functions with an arbitrary number of massive propagators and one large external momentum. The relevant subdiagrams are generated automatically. The resulting massless two-point integrals and massive tadpoles are transformed on-line to FORM-expressions ready to be used by existing FORM packages which calculate them analytically. As an example we compute the quartic mass corrections to the photon polarization function.
Cite
@article{arxiv.hep-ph/9611354,
title = {Automatic Computation Of Three-Loop Two-Point Functions In Large Momentum Expansion},
author = {K. G. Chetyrkin and R. Harlander and J. H. Kuehn and M. Steinhauser},
journal= {arXiv preprint arXiv:hep-ph/9611354},
year = {2011}
}
Comments
Coefficients of example in Sect. 3 corrected. Latex, 5 pages, 1 ps-figure. Extended version of the contribution to the proceedings of the AIHENP96 workshop in Lausanne, September 1996. The complete paper, including figures, is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ , or via www at http://www-ttp.physik.uni-karlsruhe.de/cgi-bin/preprints/